If you fill water into the cups on the right side you get a water wheel.

How do I manage the rotated function most efficiently, that is the well known pair of functions regrading to the rotation vector?

As you see I developed the function bechergedreht$xstrich, solving the xÂ´(x) part of the rotating function to x(xÂ´) and inserting this into the yÂ´(x) part of the rotation vector. But this does not handle to well.